For Point P, you need to recognize that a 1:2 ratio means that AP will be 1/3 of AB and PB will be 2/3 of AB.
So you need to find the change in the x-values, 14-2 = 12, and then add 1/3 of that change to the x-value of A.
Then you need to find the change in the y-values, 9-3 = 6, and then add 1/3 of that change to the y-value of A.
For the bisector, that's another way to say you'll split AB into two even pieces. For this, it's the same as what we just did, but you need to find 1/2 of the two respective changes (1/2 of the x-change and 1/2 the y-change).
The function is defined over these ranges of x:
(-∞, -1) and [-1, 7), that is for x < 7.
Note that
The function is undefined at x = --1 over the left portion of the straight line, but the function s defined at x = -1 for the right portion f the straight line.
The function is undefined at x = 7 and for larger values of x.
Answer: x < 7
Answer:
Step-by-step explanation:
When you factor each equation, you result in two of the factors canceling out, resulting in .
[Top Equation]
The middle number is 3 and the last number is -28.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 3
Multiply together to get -28
Can you think of the two numbers?
Try -4 and 7:
-4+7 = 3
-4*7 = -28
Fill in the blanks in
(x+_)(x+_)
with -4 and 7 to get...
(x-4)(x+7)
[Bottom Equation]
The middle number is -7 and the last number is 12.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -7
Multiply together to get 12
Can you think of the two numbers?
Try -3 and -4:
-3+-4 = -7
-3*-4 = 12
Fill in the blanks in
(x+_)(x+_)
with -3 and -4 to get...
(x-3)(x-4)
21
Step-by-step explanation:
pemdas 4+3=7 then multiply 7×2=14 then add 14 to 21 ehich equals 21
Lets find that out writing equations and solving them, a multiple of 1/6 is something like this (1/6)x, so we have
(1/6)x > 3/6
and
<span>(1/6)y < 4/6
</span>lets solve both equations:
<span>(1/6)x > 3/6
</span>x > 6(3/6)
x > 3
<span>(1/6)y < 4/6
</span>y < 6(4/6)
y < 4
So the number must be between 3 and 4, which is obvious, lets try with 3.5 then, that is 3 5/10 or 35/10 = 7/2 in fractional form, and lets try it out:
(1/6)(7/2) = 7/12
finally we compare with the original fractions:
1/6 < 7/12
2/12 < 7/12
So, it comply with being greater than 1/6, now lets compare with 4/6
7/12 < 4/6
<span>7/12 < 8/12
</span>therefore is also smaller than 4/6 and hence 7/12 is a multiple of 1/6 between 3/6 and 4/6
